对偶空间中的渐近分析与Weierstrass定理

IF 1.2 3区数学 Q1 MATHEMATICS

Journal of Mathematical Analysis and Applications Pub Date : 2025-05-06 DOI:10.1016/j.jmaa.2025.129635

Fatemeh Fakhar , Majid Fakhar , Hamid Reza Hajisharifi

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引用次数: 0

摘要

本文引入渐近函数的新概念，导出了对偶空间中具有弱拓扑的无矫顽力条件的转移弱下连续函数的Weierstrass定理。并利用该渐近函数，建立了对偶空间中转移弱下连续和拟凸函数框架内的最小化问题的充分必要条件。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Asymptotic analysis and the Weierstrass theorem in dual spaces

In this paper, we introduce a new concept of asymptotic function to derive the Weierstrass theorem for transfer weakly lower continuous functions without coercivity condition in dual spaces that are endowed with the weak^⁎ topology. Moreover, by this asymptotic function we establish a necessary and sufficient condition for a minimization problem within the framework of transfer weakly lower continuous and quasiconvex functions in dual spaces.

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来源期刊

Journal of Mathematical Analysis and Applications 数学-数学

CiteScore

2.50

自引率

7.70%

发文量

790

审稿时长

6 months

期刊介绍： The Journal of Mathematical Analysis and Applications presents papers that treat mathematical analysis and its numerous applications. The journal emphasizes articles devoted to the mathematical treatment of questions arising in physics, chemistry, biology, and engineering, particularly those that stress analytical aspects and novel problems and their solutions. Papers are sought which employ one or more of the following areas of classical analysis: • Analytic number theory • Functional analysis and operator theory • Real and harmonic analysis • Complex analysis • Numerical analysis • Applied mathematics • Partial differential equations • Dynamical systems • Control and Optimization • Probability • Mathematical biology • Combinatorics • Mathematical physics.